Any 4 points can lie in a plane, 3 points determine a plane and just take the 4th to be say the origin.
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I dont think that "If four points are collinear they are also coplaner," is the same thing as "If four points are coplaner they are also collinear,". The definition of collinear is at least three points on the same line. To define a plane is to have threenoncollinear points.
exactly nine planes! * * * * * I would have said 4 - corresponding to the four faces of a tetrahedron. Of course, non-collinear does not mean non-coplanar so all four points could be in the same single plane!
Points that lie on the same plane are coplanar. Generally, three points have to be coplanar, but more than that can be in any plane.
Any Euclidean plane has infinitely many points.